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SOL-1b Practice test

 1. 
The ratio of the lengths of the radii of two sphere is 3:4.  What is the ratio of the volumes of these two spheres?
                        mr001-1.jpg
 A)
1
 C)
4
 E)
12
 G)
27
 B)
3
 D)
9
 F)
16
 H)
64
 

 2. 
This figure is composed of
an isosceles trapezoid and a regular octagon.
        
What is the value of x ?		mc002-1.jpg
A)
102
B)
111
C)
114
D)
168
 

 3. 
Given:  Parallelogram WUXQ where
mc003-1.jpg and mc003-2.jpg.
                            
What value of x proves this parallelogram is a rhombus?		mc003-3.jpg

mc003-4.jpg
A)
8
B)
3
C)
4
D)
–4
 

 4. 
A spectator is viewing the six cars
of a roller coaster as it travels down a hill at an amusement park.
                      
Which is the closest to the total length of the six cars?		mc004-1.jpg
A)
27.1 ft
B)
15.8 ft
C)
25.4 ft
D)
71.5 ft
 

 5. 
The lengths of two sides of a triangle are 20 inches and 43 inches.  What is the range of possible lengths, in inches, for the third side, x, of this triangle?
                                                 mr005-1.jpg
 A)
13
 C)
26
 E)
52
 G)
63
 B)
23
 D)
28
 F)
73
 H)
83
 

 6. 
Line c and k are cut by a transversal

   
What value of x proves that c // k ?


mc006-1.jpg
mc006-2.jpg
A)
42
B)
41
C)
31
D)
52
 

 7. 
An angle congruent to 
angle L is being constructed.
       
    
Which ray could be drawn to construct an angle congruent to mc007-1.jpg ?		mc007-2.jpg
A)
mc007-3.jpg
B)
mc007-4.jpg
C)
mc007-5.jpg
D)
mc007-6.jpg
 

 8. 
What is the contrapositive of the following statement?

If the measure of an angle is 90º, then it is a right angle.
A)
If it is not a right angle, then the measure of an angle is not 90º.
B)
If it is a right angle, then the measure of an angle is 90º.
C)
If the measure of an angle is not 90º, then it is not a right angle.
D)
If the measure of an angle is not 90º, then it is a right angle.
 

 9. 
Circle P has a center at (5, –5) and a diameter of 10 units.  Which point lies on circle P?
A)
(9, –2)
B)
(5, –5)
C)
(–3, –11)
D)
(15, 5)
 

 10. 
The figure represents a ramp
with handrails. 
Segments FG and JK are parallel to MN. 
Segments GH and KL are parallel to NP. 
Segments FM and GN are parallel to HP.

                     
If mc010-1.jpg, what is mc010-2.jpg ?		mc010-3.jpg
A)
61º
B)
90º
C)
119º
D)
151º
 

 11. 
For which polygon are both mc011-1.jpg and mc011-2.jpg lines of symmetry?
A)
mc011-3.jpg
C)
mc011-5.jpg
B)
mc011-4.jpg
D)
mc011-6.jpg
 

 12. 
A rectangular pyramid is shown.

      
What is the volume of the pyramid?		mc012-1.jpg
A)
1728 in³
B)
864 in³
C)
576 in³
D)
216 in³
 

 13. 
A cell phone box in the shape of a rectangular
prism is shown. The height of the box is 5 cm.

The height of the original box will be increased by 2 centimeters so a new instruction manual and an extra battery can be included.  Which is closest to the total surface area of the new box?		mc013-1.jpg
A)
706 in²
B)
910 in²
C)
1425 in²
D)
1046 in²
 

 14. 
Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rectangle, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
A)
Every quadrilateral is a rectangle.
B)
Every parallelogram is a rectangle.
C)
Opposite sides of a rectangle are congruent.
D)
Opposite sides of a quadrilateral are congruent.
 

 15. 
Let p represent:
         Two angles are vertical angles.
Let q represent:
         The angles are congruent.

What is the symbolic representation of the following statement?
     If two angles are vertical angles, then the angles are congruent.
A)
mc015-1.jpg
B)
mc015-2.jpg
C)
mc015-3.jpg
D)
mc015-4.jpg
 

 16. 
Look at this triangle.

Which triangle is similar to the given triangle?		mc016-1.jpg
A)
mc016-2.jpg
C)
mc016-4.jpg
B)
mc016-3.jpg
D)
mc016-5.jpg
 

 17. 
What type of construction
is illustrated in the figure?mc017-1.jpg
             
A)
The bisection of mc017-3.jpg
C)
An angle congruent to mc017-5.jpg
B)
The bisection of mc017-4.jpg
D)
A line segment congruent to mc017-6.jpg
 

 18. 
Which diagram shows a pair of angle measures that prove lines e and q are parallel?
A)
mc018-1.jpg
C)
mc018-3.jpg
B)
mc018-2.jpg
D)
mc018-4.jpg
 

 19. 
Line h contains the points
(–8, 3) and (6, –4). 



Plot a point other than point W with integral coordinates that is on a line parallel to h and passes through point W.		mc019-1.jpg
                    
A)
(–9, 0)
B)
(–9, 1)
C)
(–9, –1)
D)
(–10, 0)
 

 20. 
Given :  W(–8, –4) and X(–9, –8)                      What is the slope of mc020-1.jpg?
A)
mc020-4.jpg
B)
mc020-5.jpg
C)
mc020-6.jpg
D)
mc020-7.jpg
 

 21. 
Given the measures shown in the diagram, which two triangles are congruent?
mc021-1.jpg         mc021-2.jpg
A)
J and H
B)
E and S
C)
E and H
D)
J and S
 

 22. 
Nyota is drawing the
perpendicular bisector of mc022-1.jpg.
          

Which point is on the perpendicular bisector of mc022-2.jpg?		mc022-3.jpg
A)
J
B)
Q
C)
C
D)
F
 

 23. 
An equilateral triangle is folded in half.


What is x, the height of the equilateral triangle?		mc023-1.jpg
A)
mc023-5.jpg mm
B)
22 mm
C)
mc023-6.jpg mm
D)
11 mm
 

 24. 
This container is composed
of a right circular cylinder and a right circular cone.
                            
Which is closest to the surface area of the contianer?		mc024-1.jpg
A)
1696 yd²
B)
3110 yd²
C)
3817 yd²
D)
2403 yd²
 

 25. 
Given:  J lies on mc025-1.jpg and Y lies on mc025-2.jpg

     
Which condition proves mc025-3.jpg ?		mc025-4.jpg
A)
mc025-5.jpg
C)
mc025-7.jpg
B)
mc025-6.jpg
D)
mc025-8.jpg
 

 26. 
Given: Circle A

             
Which is the closest to the area of the shaded sector of circle A ?		mc026-1.jpg
A)
9 yd²
B)
17 yd²
C)
33 yd²
D)
50 yd²
 

 27. 
Raul attached a wire
between two poles on a hill as shown.
           
Which is closest to x, the distance between the two poles?		mc027-1.jpg
A)
35 yd
B)
38 yd
C)
67 yd
D)
83 yd
 

 28. 
Click on the grid to plot the point you want to select.

Plot the center of the circle defined by the equation:          mc028-1.jpg		mc028-2.jpg
A)
(–4, 9)
B)
(4, –9)
C)
(4, 9)
D)
(–4, –9)
 

 29. 
Given J (–7, 9) and Q (5, –8)

        
What is the length of mc029-1.jpg ?		mc029-2.jpg
A)
mc029-4.jpg
B)
mc029-5.jpg
C)
mc029-6.jpg
D)
mc029-7.jpg
 

 30. 
Which could be the lengths of three sides of a triangle?
A)
13 yd, 4 yd, 9 yd
C)
22 yd, 28 yd, 22 yd
B)
10 yd, 5 yd, 2 yd
D)
26 yd, 10 yd, 15 yd
 

 31. 
Which of the following sets of lengths can represent the measures of the sides of a right triangle?
A)
4, 5, 7
B)
5, 9, 13
C)
8, 13, 17
D)
12, 16, 20
 

 32. 
The Venn diagram represents students
who play instruments in the orchestra.
                          
Identify each region of the Venn diagram that represents students who play only the trumpet and the viola.		mc032-1.jpg
A)
none
B)
6
C)
12
D)
6, 9, 10, 12
 

 33. 
Given:  Circle M


What is the value of y?		mc033-1.jpg
A)
30
B)
50
C)
80
D)
100
 

 34. 
In this figure, parallel lines n and d
are intersected by line k.
                    
Which pair of angles is NOT supplementary?		mc034-1.jpg
A)
mc034-2.jpg and mc034-3.jpg
B)
mc034-4.jpg and mc034-5.jpg
C)
mc034-6.jpg and mc034-7.jpg
D)
mc034-8.jpg and mc034-9.jpg
 

 35. 
The volume of a cube is 343 cubic inches.  What is the surface area of the cube?
A)
49 in²
B)
294 in²
C)
2,401 in²
D)
2,058 in²
 

 36. 
Click and drag each selected reason to the correct box
Given:  Figure UMWA with diagonal mc036-1.jpg
            mc036-2.jpg; mc036-3.jpg

Complete the proof of mc036-4.jpg by selecting the reasons for the last two statements.		mc036-5.jpg

Statements
Reasons
 
mc036-6.jpg

mc036-7.jpg


Given
 


mc036-8.jpg
  


mc036-9.jpg
  
A)
Given and SSS
E)
Reflexive and SAS
B)
Dfn of congruent triangles and HL
F)
Given and Dfn of congruent triangles
C)
Reflexive and SSS
G)
Reflexive and HL
D)
Given and SAS
H)
Dfn of congruent triangles and SSS
 

 37. 
Parallelogram EBNV is a
rhombus with mc037-1.jpg

What is the mc037-2.jpg ?		mc037-3.jpg
A)
36°
B)
54°
C)
108°
D)
144°
 

 38. 
Quadrilateral FXUP is shown.

   
If FXUP is reflected across the x-axis , what are the coordinates of X’ ?		mc038-1.jpg
A)
mc038-4.jpg
B)
mc038-5.jpg
C)
mc038-6.jpg
D)
mc038-7.jpg
 

 39. 
This figure show parallel
stair railings through points K, H, E, and M.
                         
What is the value of x ?		mc039-1.jpg
A)
30
B)
45
C)
60
D)
120
 

 40. 
Part of a marching band formed by a triangle made with cornet players on one side, sax players on one side, and trombone players on the third side.
     •  The angle formed by the cornet and trombone players measured 45º
     •  The angle formed by the trombone and sax players measured 73º
Which orders the sides of this triangle from least to greatest using the instrument names?
A)
sax, cornet, trombone
C)
cornet, trombone, sax
B)
sax, trombone, cornet
D)
trombone, cornet, sax
 

 41. 
Which best describes
the construction in the diagram shown?mc041-1.jpg
               
A)
The bisector of a line segment
B)
A line segment congruent to a given line segment
C)
A perpendicular to a given line at a point on the line
D)
A perpendicular to a given line from a point not on the line
 

 42. 
A company is creating a new cylinderical container to replace its original cylindrical container.
     •  The new container will have 25 times the volume of the original container.
     •  The height of the new container will remain the same as the height of the original container.
The length of the radius of the new container will be --
A)
5 times the length of the radius of the original container
B)
25 times the length of the radius of the original container
C)
125 times the length of the radius of the original container
D)
625 times the length of the radius of the original container
 

 43. 
Three triangles that do not overlap
are shown on the coordinate grid.  The coordinates of all vertices are integers.


                 
Which statement is true?		mc043-1.jpg
A)
mc043-2.jpg
B)
mc043-3.jpg
C)
mc043-4.jpg
D)
mc043-5.jpg
 

 44. 
An architect used this diagram to
design a curved balcony.  She drew a circle with a radius of 58 feet and a central angle of 64° to determine the length of railing needed for the balcony.

Which is the closest to the length of railing needed for the curved section of the balcony?		mc044-1.jpg

A)
32 ft
B)
65 ft
C)
364 ft
D)
1879 ft
 

 45. 
A polygon is shown:


What is the measure of mc045-1.jpg ?		mc045-2.jpg
A)
57°
B)
90°
C)
123°
D)
246°
 

 46. 
The diagonals of rectangle CQDY intersect
at the point (1, 6).  One of the vertices of the rectangle CQDY is located at (–3, 8).
            
Which of the following could be the location of another vertex of this rectangle?		mc046-1.jpg
A)
(5, 4)
B)
(–1, 7)
C)
(1, 8)
D)
(1, 4)
 

 47. 
Triangles ZFP, ZUP, and GFP
are show on the coordinate grid, and all the vertices have coordinates that are integers.
            
Which statement is true?		mc047-1.jpg
A)
No two triangles are congruent.
B)
Only mc047-2.jpg and mc047-3.jpg are congruent.
C)
Only mc047-4.jpg and mc047-5.jpg are congruent.
D)
Triangle ZFP, mc047-6.jpg, and mc047-7.jpg are all congruent
 

 48. 
The cross-section for a wooden beam
is modeled by the composite of the regular octogon and triangle shown.

What is closest to the measure of mc048-1.jpg ?		mc048-2.jpg
A)
155º
B)
165º
C)
160º
D)
175º
 

 49. 
Given:  Circle D with center at (6, –6)
What equation could represent circle D?
A)
mc049-4.jpg
C)
mc049-6.jpg
B)
mc049-5.jpg
D)
mc049-7.jpg
 

 50. 
Using the information given,
which congruence postulate or theorem can be used to prove that mc050-1.jpg ?mc050-2.jpg
A)
Hypotenuse-Leg Theorem
C)
Side-Angle-Side Postulate
B)
Side-Side-Side Postulate
D)
Angle-Angle-Side Theorem
 



 
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